非線性物理學(xué)導(dǎo)論

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網(wǎng)絡(luò)（路）分析問題詳解，ISBN：9787506214650，作者：（美）范·沃坎伯格（Van Valkenluig M.E.）原著；程元文譯著

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ContentsPreface1 Introduction　LuiLam　1.1 A Quiet Revolution　1.2 Nonlinearity　1.3 Nonlinear Science　　1.3.1 Fractals　　1.3.2 Chaos　　1.3.3 Pattem Fonnation　　1.3.4 Solitons　　1.3.5 Cellular Automata　　1.3.6 Complex Systems　1.4 Remarks　ReferencesPartⅠFractals and Multifractals　2 Fractals and Diffusive Growth　　Thomas C. Halsey　　2.1 Percolation　　2.2 Diffusion-Limited Aggregation　　2.3 Electrostatic Analogy　　2.4 Physical Applications ofDLA　　　2.4.1 Electrodeposition with Secondary Current Distribution　　　2.4.2 Diffusive Electrodeposition　　Problems　　References　3 Multifractality　　Thomas C. Halsey　　3.1 Defimtionof(q)and f(a)　　3.2 SystematicDefinitionofT(q)　　3.3 The Two-Scale Cantor Set　　　3.3.1 Limiting Cases　　　3.3.2 Stirling Formula andf(a)　　3.4 Multifractal Correlations　　　3.4.1 Operator Product Expansion and Multifractality　　　3.4.2 Correlations oflso-flt Sets　　3.5 Numerical Measurements of f(a)　　3.6 Ensemble Averaging and (q)　　Problems　　References　4 Scaling Arguments and Diffusive Growth　　Thomas C. Halsey　　4.1 The Information Dimension　　4.2 The Turkevich-Scher Scaling Relation　　4.3 The Electrostatic Scaling Relation　　4.4 Scaling ofNegative Moments　　4.5 Conclusions　　Problems　　ReferencesPartⅡChaos and Randomness　5 Introduction to Dynamical Systems　　Stephen G. Eubank and J. Doyne Farmer　　5.1 Introduction　　5.2 Detenninism Versus Random Processes　　5.3 ScopeofPartⅡ　　5.4 Deterministic Dynamical Systems and State Space　　5.5 Classification　　　5.5.1 PropertiesofDynamical Systems　　　5.5.2 A BriefTaxonomy ofDynamical Systems Models　　　5.5.3 The Relationship Between Maps and Flows　　5.6 Dissipative Versus Conservative Dynamical Systems　　5.7 Stability　　　5.7.1 Lmearization　　　5.7.2 TheSpectrumofLyapunovExponents　　　5.7.3 InvariantSets　　　5.7.4 Attractors　　　5.7.5 Regular Attractors……　6 Probability, Random Processes, and the　7 Modeling Chaotic SystemsPartⅢPattero Formation and Disorderly Growth　8 Phenomenology of Growth　9 Models and ApplicationsPartⅣSoBtons　10 Integrable Systems　11 Nonintegrable SystemsPartⅤSpecial Topics　12 Cellular Automata and Discrete Physics　13 Visualization Techniques for Cellular Dynamata　14 From Laminar Flow to Turbulence　15 Active Walks: Pattern Formation, Self-Organization, andAppendix: Historical Remarks on ChaosContributorsIndex

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